00 ·Ë (-1)^_²_ n=1 n +1 Does the series converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series diverges because the limit used in the nth-Term Test is not zero. O B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OC. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is O D. The series converges absolutely per the Comparison Test with n=1 n O E. The series converges absolutely because the limit used in the nth-Term Test is OF. The series converges conditionally per the Alternating Series Test and the Comparison Test with -|c n=1 n
00 ·Ë (-1)^_²_ n=1 n +1 Does the series converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series diverges because the limit used in the nth-Term Test is not zero. O B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OC. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is O D. The series converges absolutely per the Comparison Test with n=1 n O E. The series converges absolutely because the limit used in the nth-Term Test is OF. The series converges conditionally per the Alternating Series Test and the Comparison Test with -|c n=1 n
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:00
·Ë (-1)^_²_
n=1
n +1
Does the series
converge absolutely, converge conditionally, or diverge?
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. The series diverges because the limit used in the nth-Term Test is not zero.
O B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
OC. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is
O D.
The series converges absolutely per the Comparison Test with
n=1 n
O E. The series converges absolutely because the limit used in the nth-Term Test is
O F.
The series converges conditionally per the Alternating Series Test and the Comparison Test with
00
- Ic
n=1 n
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